Final answer:
The LPN/LVN can assign the task of assisting with feeding a client to a nursing assistant, as this task aligns with the support-level care responsibilities of nursing assistants and does not require professional nursing skills.
Step-by-step explanation:
In a long-term care facility, a Licensed Practical Nurse (LPN) or Licensed Vocational Nurse (LVN) may delegate certain tasks to a nursing assistant, within the scope of their training and facility policy. Administering prescribed medication and inserting a nasogastric tube require specific medical knowledge, training, and legal authorization that nursing assistants do not typically possess. These tasks are beyond the scope of a nursing assistant's responsibilities. Changing sterile dressings is also typically reserved for licensed nurses due to the need for maintaining a sterile environment and understanding wound care management.
The correct task that may be delegated to a nursing assistant by an LPN/LVN is assisting with feeding a client. This task is appropriate for a nursing assistant's skill set and ensures that proper nutrition is provided while considering the safety and needs of the patient. This task falls within the range of non-invasive support duties that do not require professional nursing skills.
The task that an LPN/LVN can delegate to a nursing assistant is C. Assist with feeding a client, as it matches the support-level care that nursing assistants are trained to provide in long-term care facilities.